Question

- What is the next term for the sequence
486,162, 54,18, 6....
(A) 3
(B) 2
ich 1
(D) 4​

Answer 1

Answer:

3

Step-by-step explanation:

6*3=18

18*3=54

54*3=162

162*3=486

Answer 2

Given,

A sequence: 486, 162, 54, 18, 6 .......

To find,

The next term in the sequence.

Solution,

We can simply solve this mathematical problem using the following process:

As per the given sequence,

The first term = 486

Second term = 162

Third term = 54

Now,

Second term/first term = 162/486 = 1/3

Third term/second term = 54/162 = 1/3

=> The ratio of any successive terms of the sequence is equal

=> the given sequence is a Geometric progression (GP) with first term 486 and a common ratio of 1/3

Mathematically,

The general term of a GP is denoted as:N-th term of the GP = A(n) = (first term)×(common ratio)^(n-1)

So, the 6th term of the given GP can be calculated as:

A(6) = (486)×(1/3)^5 = 2

Hence, the next term in the given sequence is 2.